BFD - EIGRP - Tunnel Endpoint Liveness detection

I would like to use BFD for Tunnel Endpoint Liveness detection (as mentioned in BFD white papers)

Router A:

interface GigabitEthernet0/0

ip vrf forwarding INNER

ip address 1.1.1.1 255.255.255.252

bfd interval 50 min_rx 50 multiplier 3

interface Loopback1

ip vrf forwarding INNER

ip address 2.2.2.1 255.255.255.255

interface Tunnel1

ip vrf forwarding OUTER

ip address 3.3.3.1 255.255.255.2

tunnel source 2.2.2.1

tunnel destination 2.2.2.2

tunnel mode ipsec ipv4

tunnel protection ipsec profile WHATEVER

tunnel vrf INNER

router eigrp 1

address-family ipv4 vrf INNER autonomous-system 2

bfd all-interfaces

network 1.1.1.0 0.0.0.3

network 2.2.2.0 0.0.0.255

address-family ipv4 vrf OUTER autonomous-system 3

network 3.3.3.0 0.0.0.3

Router B:

interface GigabitEthernet0/0

ip vrf forwarding INNER

ip address 1.1.1.2 255.255.255.252

bfd interval 50 min_rx 50 multiplier 3

interface Loopback1

ip vrf forwarding INNER

ip address 2.2.2.2 255.255.255.255

interface Tunnel1

ip vrf forwarding OUTER

ip address 3.3.3.2 255.255.255.2

tunnel source 2.2.2.2

tunnel destination 2.2.2.1

tunnel mode ipsec ipv4

tunnel protection ipsec profile WHATEVER

tunnel vrf INNER

router eigrp 1

address-family ipv4 vrf INNER autonomous-system 2

bfd all-interfaces

network 1.1.1.0 0.0.0.3

network 2.2.2.0 0.0.0.255

address-family ipv4 vrf OUTER autonomous-system 3

network 3.3.3.0 0.0.0.3

Routers A and B are connected via their respective interfaces Gi0/0. Network 1.1.1.0/30 comes up, EIGRP neighborship between 1.1.1.1 and 1.1.1.2 in VRF INNER is established and both sides learn about 2.2.2.1 and 2.2.2.2 respectively. This means the tunnel endpoints can be reached and Tunnel1 comes up, hence EIGRP neighborship between 3.3.3.1 and 3.3.3.2 in VRF OUTER ist established.

Now when I disconnect Gi0/0, BFD kicks in and tears down the EIGRP neighborship in VRF INNER almost instantly. This makes 2.2.2.2 unreachable from Router A, so I would expect Tunnel1 to go down the same moment because the tunnel endpoint can no longer be reached. Instead, the tunnel goes down not before 15 or 20 seconds have elapsed and likewise the EIGRP neighborship in VRF OUTER times out.

What I would like to see: connection loss between Router A and B tears down EIGRP neighborship in VRF OUTER in the sub second range. Can this be done?